Skip to content

Instantly share code, notes, and snippets.

@nbecker
Created July 1, 2016 18:08
Show Gist options
  • Save nbecker/5cc8ae052a80b3db6e9ec6b094639318 to your computer and use it in GitHub Desktop.
Save nbecker/5cc8ae052a80b3db6e9ec6b094639318 to your computer and use it in GitHub Desktop.
minimal test case
\makeatletter
\def\input@path{{/home/nbecker/interference/}}
\makeatother
\documentclass[english]{beamer}
\usepackage{amsmath}
\usepackage{fontspec}
\usepackage{unicode-math}
\setcounter{secnumdepth}{3}
\setcounter{tocdepth}{3}
\makeatletter
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% LyX specific LaTeX commands.
%% Because html converters don't know tabularnewline
\providecommand{\tabularnewline}{\\}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Textclass specific LaTeX commands.
% this default might be overridden by plain title style
\newcommand\makebeamertitle{\frame{\maketitle}}%
% (ERT) argument for the TOC
\AtBeginDocument{%
\let\origtableofcontents=\tableofcontents
\def\tableofcontents{\@ifnextchar[{\origtableofcontents}{\gobbletableofcontents}}
\def\gobbletableofcontents#1{\origtableofcontents}
}
\makeatother
\usepackage{polyglossia}
\setdefaultlanguage{english}
\begin{document}
\begin{frame}{What should we expect (OFDM)?}
\begin{itemize}
\item OFDM approach
\begin{itemize}
\item If interference covers $1/M$ of the carrier spectrum, we loose $1/M$
of the symbols, which is like $1/M$ of the signal power
\item So if we loose 1/10 of the carriers, it's like receiving 9/10 of the
signal.
\item coding is equivalent to combining the symbols \emph{coherently}, so
we should expect to have to boost the signal by $20\log_{10}(0.9)=0.92\text{{dB}}$
\item In general, the loss is
\[
20\log_{10}(1-1/M)
\]
\end{itemize}
\end{itemize}
\end{frame}
\end{document}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment